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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Review Exercises 27 to 29, give a proof for each statement.

G i v e n :                     O with E O - B C - ,

                                                              D O - B A - ,   E O - O D -

            P r o v e :                   B C ^ B A ^

To determine

To Prove: BC^BA^, if O with EO-BC-, DO-BA-, EO-OD-

Explanation

Concept:

Theorem 6.1.5:

In a circle (or in congruent circles), congruent chords have congruent minor (major) arcs.

Theorem 6.1.6:

In a circle (or in congruent circles), congruent arcs have congruent chords.

Theorem 6.1.7:

Chords that are at the same distance from the center of a circle are congruent.

Theorem 6.1.8:

Congruent chords are located at the same distance from the center of a circle.

Calculation:

Given that O with EO-BC-, DO-BA-, EO-OD

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